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Extended Partial Orders: A Unifying Structure For Abstract Choice Theory

Author

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  • Klaus Nehring
  • Selva Demiralp
  • Clemens Puppe

    (Department of Economics, University of California Davis)

Abstract

The concept of a strict extended partial order (SEPO) has turned out to be very useful in explaining (resp. rationalizing) non-binary choice functions. The present paper provides a general account of the concept of extended binary relations, i.e., relations between subsets and elements of a given universal set of alternatives. In particular, we define the concept of a weak extended partial order (WEPO) and show how it can be used in order to represent rankings of opportunity sets that display a ""preference for opportunities."" We also clarify the relationship between SEPOs and WEPOs, which involves a non-trivial condition, called ""strict properness."" Several characterizations of strict (and weak) properness are provided based on which we argue for properness as an appropriate condition demarcating ""choice based"" preference.

Suggested Citation

  • Klaus Nehring & Selva Demiralp & Clemens Puppe, 2003. "Extended Partial Orders: A Unifying Structure For Abstract Choice Theory," Working Papers 91, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:91
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    References listed on IDEAS

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    6. Sertel, Murat R., 1988. "Characterizing fidelity for reflexive choices," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 93-95, February.
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